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Finding the Third Proportional to 44,623 and 97,023

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Solution

The third proportional to 44,623 and 97,023 is: 210,955.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,623 : 97,023 = 97,023 : x
  2. Step 2: Convert to fraction form
    44,623/97,023 = 97,023/x
  3. Step 3: Cross multiply
    44,623x = 97,023 × 97,023
  4. Step 4: Simplify right side
    44,623x = 9,413,462,529
  5. Step 5: Solve for x
    x = 9,413,462,529/44,623
  6. Step 6: Final answer
    x = 210,955.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.